Flapping and bending bodies interacting with fluid flows

Annual Review of Fluid Mechanics

Volumn 43, Issue , 2011, Pages 449-465

  Shelley, Michael J ^a   Zhang, Jun ^a  

^a NEW YORK UNIVERSITY   (United States)

Author keywords

drag reduction; flags; flapping; flexible bodies; fluid body interactions; flutter; instability

Indexed keywords

FLAGS; FLAPPING; FLEXIBLE BODIES; FLUTTER; INSTABILITY;

DRAG REDUCTION; FLUIDS; FLUTTER (AERODYNAMICS);

FLOW OF FLUIDS;

BENDING; DRAG COEFFICIENT; EXPERIMENTAL STUDY; FLEXURE; FLUID FLOW; NONLINEARITY; THEORETICAL STUDY;

EID: 79951989260     PISSN: 00664189     EISSN: None     Source Type: Book Series    
DOI: 10.1146/annurev-fluid-121108-145456     Document Type: Article

References (76)

1. Alben S. 2008a. Optimal flexibility of a flapping appendage in an inviscid fluid. J. Fluid Mech. 614:355-80
2. Alben S. 2008b. The flapping-flag instability as a nonlinear eigenvalue problem. Phys. Fluids 20:104106
3. Alben S. 2009a. Simulating the dynamics of flexible bodies and vortex sheets. J. Comput. Phys. 228:2587-603
4. Alben S. 2009b. Wake-mediated synchronization and drafting in coupled flags. J. Fluid Mech. 641:489-96
5. Alben S, Shelley M. 2005. Coherent locomotion as an attracting state for a free flapping body. Proc. Natl. Acad. Sci. USA 102:11163-66 (Pubitemid 41158276)
6. Alben S, Shelley M. 2008a. Erratum: Flapping states of a flag in an inviscid fluid: bistability and the transition to chaos. Phys. Rev. Lett. 101:119902
7. Alben S, Shelley M. 2008b. Flapping states of a flag in an inviscid fluid: bistability and the transition to chaos. Phys. Rev. Lett. 100:074301
8. Alben S, Shelley M, Zhang J. 2002. Drag reduction through self-similar bending of a flexible body. Nature 420:479-81 (Pubitemid 35477034)
9. Alben S, Shelley M, Zhang J. 2004. How flexibility induces streamlining in a two-dimensional flow. Phys. Fluids 16:1694-713 (Pubitemid 38672672)
10. Allen J, Smits A. 2001. Energy harvesting eel. J. Fluids Struct. 15:629-40 (Pubitemid 34137671)
11. Argentina M, Mahadevan L. 2005. Fluid-flow-induced flutter of a flag. Proc. Natl. Acad. Sci. USA 102:1829-34 (Pubitemid 40261971)
12. Bisplinghoff R, Ashley H. 2002. Principles of Aeroelasticity. New York: Dover
13. Carrier G, Krook M, Pearson C. 1966. Functions of a Complex Variable: Theory and Technique. New York: McGraw-Hill
14. Childress S, Vandenberghe N, Zhang J. 2006. Hovering of a passive body in an oscillating airflow. Phys. Fluids 18:117103
15. Chorin A. 1968. Numerical solution of the Navier-Stokes equations. Math. Comput. 22:745-62
16. Connell B, Yue D. 2007. Flapping dynamics of a flag in a uniform stream. J. Fluid Mech. 581:33-68
17. Couder Y, Chomaz JM, Rabaud M. 1989. On the hydrodynamics of soap films. Physica D 37:384-405 (Pubitemid 20615753)
18. Crighton D, Oswell J. 1991. Fluid loading with mean flow 0.1. Response of an elastic plate to localized excitation. Philos. Trans. R. Soc. Lond. Ser. A 335:557-92
19. de Langre E, Paidoussis M, Doare O, Modarres-Sadeghi Y. 2007. Flutter of long flexible cylinders in axial flow. J. Fluid Mech. 571:371-89 (Pubitemid 46056015)
20. Denny M. 1994. Extreme drag forces and the survival of wind-swept and water-swept organisms. J. Exp. Biol. 194:97-115 (Pubitemid 2135707)
21. Eloy C, Lagrange R, Souilliez C, Schouveiler L. 2008. Aeroelastic instability of cantilevered flexible plates in uniform flow. J. Fluid Mech. 611:97-106
22. Eloy C, Souilliez C, Schouveiler L. 2007. Flutter of a rectangular plate. J. Fluids Struct. 23:904-19 (Pubitemid 47099475)
23. Farnell D, David T, Barton D. 2004a. Coupled states of flapping flags. J. Fluids Struct. 19:29-36
24. Farnell D, David T, Barton D. 2004b. Numerical simulations of a filament in a flowing soap film. Int. J. Numer. Methods Fluids 44:313-30 (Pubitemid 38144105)
25. Fitt A, Pope M. 2001. The unsteady motion of two-dimensional flags with bending stiffness. J. Eng. Math. 40:227-48 (Pubitemid 32653239)
26. Garg A, Husain T. 2003. Strategies adopted by the alpine genus Pedicularis L. (Scrophulariaceae) to overcome environmental stress. Curr. Sci. 85:1413-14 (Pubitemid 39204511)
27. Gharib M, Derango P. 1989. A liquid-film (soap film) tunnel to study two-dimensional laminar and turbulent shear flows. Physica D 37:406-16 (Pubitemid 20615754)
28. Glowinski R, Pan TW, Hesla T, Joseph D. 1999. A distributed Lagrange multiplier/fictitious domain method for particulate flows. Int. J. Multiphase Flow 25:755-94 (Pubitemid 29396062)
29. Gosselin F, De Langre E, Machado-Almeida B. 2010. Drag reduction of flexible plates by reconfiguration. J. Fluid Mech. 650:319-41
30. Helmholtz H. 1868. Uber discontinuierliche flussigkeitsbewegungen. Monatsber. Berlin Akad. 23:215-68
31. Huang W, Shin S, Sung S. 2007. Simulation of flexible filaments in a uniform flow by the immersed boundary method. J. Comp. Phys. 226:2206-28
32. Huber G. 2000. Swimming in Flatsea. Nature 408:777-78
33. Hureau J, Brunon E, Legallais P. 1996. Ideal free streamline flow over a curved obstacle. J. Comput. Appl. Math. 72:193-214 (Pubitemid 126394789)
34. Jia L, Li F, Yin X, Yin X. 2007. Coupling modes between two flapping filaments. J. Fluid Mech. 581:199-220 (Pubitemid 47304512)
35. Jia L, Yin X. 2008. Passive oscillations of two tandem flexible filaments in a flowing soap film. Phys. Rev. Lett. 100:228104
36. Jones M. 2003. The separated flow of an inviscid fluid around a moving flat plate. J. Fluid Mech. 496:405-41 (Pubitemid 38211428)
37. Jones M, Shelley M. 2005. Falling cards. J. Fluid Mech. 540:393-425 (Pubitemid 41478943)
38. Kim Y, Peskin C. 2008. Penalty immersed boundary method for an elastic boundary with mass. Phys. Fluids 19:053103
39. Koehl M. 1984. How do benthic organisms withstand moving water. Am. Zool. 24:57-70
40. Koehl M. 1996. When does morphology matterAnnu. Rev. Ecol. Syst. 27:501-42
41. Krasny R. 1986. Desingularization of periodic vortex sheet roll-up. J. Comput. Phys. 65:292-313
42. Liao JC, Beal DN, Lauder GV, Triantafyllou MS. 2003. Fish exploiting vortices decrease muscle activity. Science 302:1566-69 (Pubitemid 37475700)
43. Manela A, Howe MS. 2009a. On the stability and sound of an unforced flag. J. Sound Vibr. 321:994-1006
44. Manela A, Howe MS. 2009b. The forced motion of a flag. J. Fluid Mech. 635:439-54
45. Michelin S, Llewellyn-Smith S. 2009. Resonance and propulsion performance of a heaving flexible wing. Phys. Fluids 21:071902
46. Michelin S, Llewellyn-Smith S, Glover B. 2008. Vortex shedding model of a flapping flag. J. Fluid Mech. 617:1-10
47. Milne-Thompson L. 1960. Theoretical Hydrodynamics. New York: Macmillan
48. Mittal R, Iaccarino G. 2005. Immersed boundary methods. Annu. Rev. Fluid Mech. 37:239-61 (Pubitemid 40301258)
49. Moore D. 1979. Spontaneous appearance of a singularity in the shape of an evolving vortex sheet. Proc. R. Soc. A 365:105-19
50. Muller U. 2003. Fish 'n flag. Science 302:1511-12 (Pubitemid 37475679)
51. Niklas K. 1998. The influence of gravity and wind on land plant evolution. Rev. Paleobot. Palynol. 102:1-14 (Pubitemid 28335993)
52. Paidoussis M. 2004. Fluid-Structure Interactions: Slender Structures and Axial Flow, Vol. 2. London: Elsevier
53. Pedley T, Lou X. 1998. Modelling flow and oscillations in collapsible tubes. Theor. Comput. Fluid Dyn. 10:277-94
54. Peskin C. 1981. The fluid dynamics of heart valves: experimental, theoretical and computational methods. Annu. Rev. Fluid Mech. 14:235-59 (Pubitemid 12465019)
55. Rayleigh L. 1879. On the instability of jets. Proc. Lond. Math. Soc. 10:4-13
56. Ristroph L, Zhang J. 2008. Anomalous hydrodynamical drafting of interacting flapping flags. Phys. Rev. Lett. 101:194502
57. Rutgers M, Wu X, Daniel W. 2001. Conducting fluid dynamics experiments with vertically falling soap films. Rev. Sci. Instrum. 72:3025-37 (Pubitemid 33606709)
58. Saffman P, Baker G. 1979. Vortex interactions. Annu. Rev. Fluid Mech. 11:95-121
59. Sawada T, Hisada T. 2006. Fluid-structure interaction analysis of a two-dimensional flag-in-wind problem by the ALE finite element method. JSME Int. J. Ser. A 36:170-79 (Pubitemid 44613593)
60. Schouveiler L, Boudaoud A. 2006. The rolling up of sheets in a steady flow. J. Fluid Mech. 563:71-80 (Pubitemid 44322719)
61. Shelley M, Vandenberghe N, Zhang J. 2005. Heavy flags undergo spontaneous oscillations in flowing water. Phys. Rev. Lett. 94:094302
62. Shen L, Zhang X, Yue D, Triantafyllou M. 2003. Turbulent flow over a flexible wall undergoing a streamwise traveling wave motion. J. Fluid Mech. 484:197-221 (Pubitemid 36751576)
63. Stewart H. 2006. Hydrodynamic consequences of flexural stiffness and buoyancy for seaweeds: a study using physical models. J. Exp. Biol. 209:2170-81 (Pubitemid 43987893)
64. Taneda S. 1968. Waving motions of flags. J. Phys. Soc. Jpn. 24:392-401
65. Vandenberghe N, Zhang J, Childress S. 2004. Symmetry breaking leads to forward flapping flight. J. Fluid Mech. 506:147-55 (Pubitemid 38673019)
66. Vogel S. 1989. Drag and reconfiguration of broad leaves in high winds. J. Exp. Bot. 40:941-48
67. Vogel S. 1994. Life in Moving Fluids. Princeton, NJ: Princeton Univ. Press. 2nd ed.
68. Watanabe Y, Suzuki S, Sugihara M, Sueoka Y. 2002. An experimental study of paper flutter. J. Fluids Struct. 16:529-42 (Pubitemid 34853907)
69. Yu Z. 2005. A DLM/FD method for fluid/flexible-body interactions. J. Comput. Phys. 207:1-27 (Pubitemid 40640292)
70. Zhang J, Childress S, Libchaber A, Shelley M. 2000. Flexible filaments in a flowing soap film as a model for one-dimensional flags in a two-dimensional wind. Nature 408:835-39 (Pubitemid 32016089)
71. Zhu L. 2007. Viscous flow past a flexible fiber tethered at its center point: vortex shedding. J. Fluid Mech. 587:217-34
72. Zhu L. 2008. Scaling laws for drag of a compliant body in an incompressible viscous flow. J. Fluid Mech. 607:387-400 (Pubitemid 351972196)
73. Zhu L. 2009. Interaction of two tandem deformable bodies in a viscous incompressible flow. J. Fluid Mech. 635:455-75
74. Zhu L, Peskin C. 2003. Interaction of two flapping filaments in a flowing soap film. Phys. Fluids 15:1954-60 (Pubitemid 37060971)
75. Zhu L, Peskin C. 2007. Drag of a flexible fiber in a 2D moving viscous fluid. Comp. Fluids 36:398-406 (Pubitemid 44689210)
76. Zhu LD, Peskin C. 2002. Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method. J. Comput. Phys. 179:452-68